The document contains examples and explanations of various math concepts for students including: - Diagrams showing representations of time on clocks - Steps for completing addition problems by breaking numbers into place values - Examples of using relation symbols like <, >, = in equations - Instructions for long multiplication and long division problems - Explanations of fractions, time, perimeter, geometry terms, and conversions between units.

2. 3. Complete the diagram to represent the following:
TTH
TH
H
T
U
TTH
12 453
TH
H
T
U
46 001
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3. +
53 246
50000
3000
200
40
6
+ 200
50000 +
3000
40
6
+
53 246 = 50 000 + 3000 + 200 + 40 + 6
You must have plus (+) signs between the
numbers, they act as invisible elastic
bands trying to pull the number together
again.
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4. 5. Fill in the correct relationship sign
a)
285
b)
4 617
c)
3 094
d)
7 652
e)
136
f)
768
>
>
=
>
<
<
<=>
200 + 70 + 5 275
4 000 + 100 + 60 + 7
3 000 + 90 + 4 3094
4 167
7562
(7 × 1 000) + (5 × 100) + (6 × 10) + (2 × 1)
146
788
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5. Rounding off to the nearest 10
The bus and motorbike are low on petrol.
20
21
22
23
24
25
26
27
28
29
30
The driver of the bus will fill up at the _______________
Total
BP
The motorbike rider will fill up at the ________________
50
51
52
53
54
55
56
57
58
59
60
The driver of the bus will fill up at the _______________
BP
Total
The motorbike rider will fill up at the ________________
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6. Number and Geometric Patterns
Complete the following table. What operation (rule) takes
place between the input and output?
Input
33
43 – 33 = 10
33 + 10 = 43
Operation is + 10
47
52
17
Output
43
57
Operation
+ 10
19
62
27
29
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7. The minute hand
O’clock
5 to
5 past
10 past
10 to
To
Quarter to
Past
20 to
Quarter past
20 past
25 to
Half past
25 past

8. Subtraction (borrowing/take away)
Example (borrow/take
away)
4 959 – 3 864 = 
Largest number is always
on top!
Also remember:
– number written first is
on top.
- number written second
is at the bottom.
Th H T U
4
-
When subtracting – start
with your units (U).
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9
5 9
3
8
6 4

9. Long Multiplication
1
× 1
4
+ 1 2
1 6
2
4
0
8
0
8
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10. ÷
18
12
14
8
10
2
÷
3
9
6
7
4
5
1
2
7
9
10
÷
4
6
1
2
21
27
30
4
16
24
4
8
12
4
9
3
15
Start
5
12
3
40
10
32
8
÷
40
15
30
25
10
÷
20
6
8
3
6
5
2
5
5
8
÷
3
2
10
5
7
48
7
21
14
70
35
49
18
3
12
2
36
6
24
4
30
5

11. What makes a Rand?
20c
20c
20c
20c
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20c

12. Duration:
Show the time that has passed between these departure and arrival times.
Flight time (How long was the flight?)
Depart 1:30 pm
Arrive 3:00 pm


Q
Leave
Take off
How long was the flight?
Duration of flight:
1½ hours or
1 hour 30 minutes
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Arrive
Land
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13. Numerators and Denominators
Numerators
Denominators
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Numerators
Denominators

14. Using the pattern for fractions with a
denominator of 10:
If a number is over the denominator 10, you must ONLY use one place after
the comma.
1
10
=
0,_
5
10
=
0,_
17
=
10
0 ,_
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15. If you have a shape with three (3) sides, example a triangle, make
sure you add all three of the numbers together.
P = 4cm + 4cm + 3cm
Perimeter = 11cm
If you have a shape with four (4) sides, example a rectangle, make sure you
add all four of the numbers together.
P = 4cm + 3cm + 4cm + 3cm
Perimeter = 14cm
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16. Terminology
Vertices are
where edges
meet
Edge is
where two
faces meet
Face
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17. How Many Teaspoons?
30ml
How many 5 ml teaspoons will be used to fill the 30 ml
container?
6 spoon will fill the container
20ml
How many 5 ml teaspoons will be used to fill the 20 ml
container?
4 spoon will fill the container